14–19 Jun 2010
Villasimius, Sardinia
Europe/Rome timezone

Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures

18 Jun 2010, 15:50
20m
Room5 (Villasimius, Sardinia)

Room5

Villasimius, Sardinia

Tanka Village
Vacuum structure and confinement Parallel 57: Vacuum structure and confinement

Speaker

Yoshiyuki Nakagawa Nakagawa (Niigata University)

Description

Entanglement entropy measures how the spatial subregion in a total system is entangled quantum mechanically with its complement. Entanglement entropy provides with an insight into phase structures of quantum systems and attracted much interest recently. In particular, it has been argued within the models of AdS/QCD correspondence that the entanglement entropy could exhibit a non-analytic behavior with respect to the size $l$ of the subregion. We measured the entanglement entropy in SU(3) pure Yang-Mills theory (approximating it by the so called $\alpha=2$ entropy). Within the statistical errors the numerical data does not show a non-analytic behavior at zero temperature and is well fitted with the power law $1/l^3$. We also show that the entanglement entropy receives a thermal contribution at finite temperature comparable with the thermal entropy, as is expected on general grounds.
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Primary author

Yoshiyuki Nakagawa Nakagawa (Niigata University)

Co-authors

Prof. Atsushi Nakamura (RIISE, Hiroshima University) Mr Shinji Motoki (Graduate School of Bio-Sphere Science, Hiroshima University) Prof. Valentine Zakharov (Max Planck Institute of Physics)

Presentation materials